Solve the Differential Equation $$y ^ { tt } + 4 y ^ { t } - 5 y = 0$$

question 5

Multiple Choice

Solve the differential equation. $$y ^ { tt } + 4 y ^ { t } - 5 y = 0$$

• A) \(y = C _ { 1 } e ^ { x } + C _ { 2 } e ^ { - 5 x }\)
• B) \(y = \frac { C _ { 1 } e ^ { x } } { 3 } + \frac { C _ { 2 } e ^ { - 5 x } } { 2 }\)
• C) \(y = C _ { 1 } e ^ { - 5 x } + C _ { 2 } e ^ { - 5 x }\)
• D) \(y = C _ { 1 } e ^ { x } + C _ { 2 } e ^ { - 7 x }\)
• E) None of these

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